{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T14:28:42Z","timestamp":1777645722429,"version":"3.51.4"},"reference-count":0,"publisher":"SAGE Publications","issue":"1-4","license":[{"start":{"date-parts":[[2010,1,1]],"date-time":"2010-01-01T00:00:00Z","timestamp":1262304000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Fundamenta Informaticae"],"published-print":{"date-parts":[[2010,6]]},"abstract":"<jats:p>We discuss some generalizations of the approximation space\n\t\t\t definition introduced in 1994 [24, 25]. These generalizations are motivated by\n\t\t\t real-life applications. Rough set based strategies for extension of such\n\t\t\t generalized approximation spaces from samples of objects onto their extensions\n\t\t\t are discussed. This enables us to present the uniform foundations for inducing\n\t\t\t approximations of different kinds of granules such as concepts,\n\t\t\t classifications, or functions. In particular, we emphasize the fundamental role\n\t\t\t of approximation spaces for inducing diverse kinds of classifiers used in\n\t\t\t machine learning or data mining.<\/jats:p>","DOI":"10.3233\/fi-2010-267","type":"journal-article","created":{"date-parts":[[2019,12,2]],"date-time":"2019-12-02T23:09:24Z","timestamp":1575328164000},"page":"141-157","source":"Crossref","is-referenced-by-count":32,"title":["Approximation Spaces in Rough\u2013Granular Computing"],"prefix":"10.1177","volume":"100","author":[{"given":"Andrzej","family":"Skowron","sequence":"first","affiliation":[{"name":"Institute of Mathematics, The University of Warsaw\r\t\t\t Banacha 2, 02-097 Warsaw, Poland. E-mail: skowron@mimuw.edu.pl"}]},{"given":"Jaros\u0142aw","family":"Stepaniuk","sequence":"additional","affiliation":[{"name":"Department of Computer Science, Bia\u0142ystok\r\t\t\t University of Technology Wiejska 45A, 15-351 Bia\u0142ystok, Poland.\r\t\t\t E-mail: j.stepaniuk@pb.edu.pl"}]},{"given":"Roman","family":"Swiniarski","sequence":"additional","affiliation":[{"name":"Department of Computer Science, San Diego State\r\t\t\t University 5500 Campanile Drive San Diego, CA 92182, USA and Institute of\r\t\t\t Computer Science, Polish Academy of Sciences Ordona 21, 01-237 Warsaw, Poland.\r\t\t\t E-mail: rswiniar@sciences.sdsu.edu"}]}],"member":"179","published-online":{"date-parts":[[2010,1]]},"container-title":["Fundamenta Informaticae"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/FI-2010-267","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/FI-2010-267","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T06:33:04Z","timestamp":1777444384000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/FI-2010-267"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,1]]},"references-count":0,"journal-issue":{"issue":"1-4","published-print":{"date-parts":[[2010,6]]}},"alternative-id":["10.3233\/FI-2010-267"],"URL":"https:\/\/doi.org\/10.3233\/fi-2010-267","relation":{},"ISSN":["0169-2968","1875-8681"],"issn-type":[{"value":"0169-2968","type":"print"},{"value":"1875-8681","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,1]]}}}